Nothing occurred during the ride in to town in the chair-car, except that each was still furtively watching the other and all were watching Paquita. Paquita was trying desperately to attract the notice of Shelby. The young man seemed greatly embarrassed. As he sat beside his sister I saw that Frances Walcott was keenly appreciative of the efforts of the little dancer.

Once I excused myself on the pretext that I wanted another morning paper, and walked forward into the smoking-car. It was as I had suspected. Sanchez was there.

“I think we had better split our forces,” planned Kennedy, when I reported to him what I had seen. “Sanchez, I suppose, will trail along after Paquita. In that case, Walter, I shall leave them to you. I want to handle Shelby myself. Meet me at the laboratory and then we can go down to your office, Mr. Hastings. And, by the way, if you will take a hint from me, sir, you will be careful what you do and what you say at your office. I think you’ll understand when I see you there again.”

The astonished look on Hastings’s face was quite worth study. It was as though some one had told him to guard his thoughts. The very possibility that there could be a “leak,” which was evidently the way in which he interpreted Kennedy’s cryptic remark, had never seemed to occur to him, so sure was he about those whom he employed.

Nothing more was said about the matter, however, and as our train rolled through the under-river tube into the station the various groups began to break up as we had expected.

With a parting word from Kennedy I wormed my way through the crowd in the direction of the cab-stand and was already in a cab and half-way up the ramp to the street when, looking back through the little glass window, I saw, as I had expected, Paquita trip gaily up to the same starter and enter another. On the avenue a stop gave me ample time to tip my driver and instruct him to follow the cab that was coming up back of us. Then by settling back from the windows I was able to let Paquita’s cab pass and pick her up again without her knowing that she was being trailed. Without looking back, I knew that Sanchez had tried to follow, but it was not until we had gone several blocks and made a sudden turn into Broadway that I realized, on looking cautiously around, that somehow he had missed out. Perhaps there had not been another cab on the instant. Anyhow, I was not myself followed.

On up-town Paquita’s cab proceeded, until finally it stopped before a building which I knew to be full of theatrical agencies and offices. I could not, of course, follow her into the office into which she went, but I managed to find out that she had gone to the office that had recently been opened by a company that proposed to put on a new feature in the fall known as La Danza Mexicana. It seemed like a perfectly legitimate business trip, yet according to my idea Paquita was merely using her notoriety to attract those whom she might use for her own purposes. What interested me was whether it was purely money or a deeper motive that actuated her.

From the office of her agent she hurried over to Fifth Avenue, and there she made several lengthy stops at fashionable costumers, milliners, and other dealers and designers of chic wearing apparel. In all this there seemed to be nothing to take exception to and I became weary of the pursuit. It was not her legitimate theatrical career that interested me.

However, so it went until the lunch hour arrived. Quite demurely and properly she stopped at a well-known tea-room where tired shoppers refreshed themselves. I swore softly under my breath. I could not well follow her in, for a man is a marked card in a tea-room. To go in was like shouting in her ear that I was watching her.

Therefore, I stayed outside and, instead of lunching, watched the passing crowd of smart shoppers while the clock on the taximeter mounted steadily.